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A straight line L on the xy-plane bisect...

A straight line `L` on the xy-plane bisects the angle between `O Xa n dO Ydot` What are the direction cosines of `L ?` a. `<<(1//sqrt(2)),(1//sqrt(2)),0>>` b. `<<(1//2),(sqrt(3)//2),0>>` c. `<<0,0,1>>` d. `<<(2//3),(2//3),(1//3)>>`

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CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
  1. If the planes vec rdot( hat i+ hat j+ hat k)=q1, vec rdot( hat i+2a h...

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  2. The equation of a line passing through the point vec a parallel to ...

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  3. A straight line L on the xy-plane bisects the angle between O Xa n dO ...

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  4. Statement 1: Vector vec c=5 hat i+7 hat j+2 hat k is along the bisect...

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  5. The equation of the line x+y+z-1=0, 4x+y-2z+2=0 written in the symmetr...

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  6. The equation of two straight lines are (x-1)/2=(y+3)/1=(z-2)/(-3)a n...

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  7. Statement 1: Lines vec r= hat i+ hat j- hat k+lambda(3 hat i- hat j)a...

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  8. Statement 1: Line (x-1)/1=(y-0)/2=(z2)/(-1) lies in the plane 2x-3y-4z...

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  9. What is the equation of the plane which passes through the z-axis and ...

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  10. Statement 1: let A( vec i+ vec j+ vec k)a n dB( vec i- vec j+ vec k) b...

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  11. Statement 1: Let theta be the angle between the line (x-2)/2=(y-1)/(-3...

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  12. If the volume of tetrahedron A B C D is 1 cubic units, where A(0,1,...

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  13. A rod of length 2 units whose one ends is (1, 0, -1) and other end to...

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  14. The equation of the plane which is equally inclined to the lines (x...

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  15. Which of the following lines lie on the plane x+2y-z+4=0? a. (x-1)...

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  16. The equations of the plane which passes through (0,0,0) and which i...

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  17. The x-y plane is rotated about its line of intersection with the y-...

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  18. Consider the planes 3x-6y+2z+5=0a n d4x-12+3z=3. The plane 67 x-162 y+...

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  19. A variable plane x/a+y/b+z/c=1 at a unit distance from origin cuts the...

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  20. Let P=0 be the equation of a plane passing through the line of inte...

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